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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 39251. |
3x+2y=112x+3y=4 |
| Answer» Y= -32/5 and x = 119/5 | |
| 39252. |
What is a factor of two |
| Answer» 2 x 1 | |
| 39253. |
Solve the following quadratic equation by factorization: (x-5)(x-6)=25/(24)2 |
| Answer» According to the question,{tex}(x - 5)(x - 6) = \\frac{{25}}{{{{\\left( {24} \\right)}^2}}}{/tex}{tex}\\Rightarrow x(x - 6) - 5(x - 6) = \\frac{{25}}{{{{(24)}^2}}}{/tex}{tex}\\Rightarrow {x^2} - 6x - 5x + 30 - \\frac{{25}}{{{{(24)}^2}}} = 0{/tex}{tex}\\Rightarrow {x^2} - 11x + 30 - \\frac{{25}}{{{{(24)}^2}}} = 0{/tex}{tex}\\Rightarrow {x^2} - 11x + \\frac{{30 \\times {{24}^2} - 25}}{{{{(24)}^2}}} = 0{/tex}{tex} \\Rightarrow {x^2} - 11x + \\frac{{30 \\times 576 - 25}}{{{{(24)}^2}}} = 0{/tex}{tex} \\Rightarrow {x^2} - 11x + \\frac{{17280 - 25}}{{{{(24)}^2}}} = 0{/tex}{tex}\\Rightarrow {x^2} - \\frac{{264x}}{{24}} + \\frac{{145}}{{24}} \\times \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow {x^2} - \\left( {\\frac{{145}}{{24}} + \\frac{{119}}{{24}}} \\right)x + \\frac{{145}}{{24}} \\times \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow {x^2} - \\frac{{145}}{{24}}x - \\frac{{119}}{{24}}x + \\frac{{145}}{{24}} \\times \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow x\\left( {x - \\frac{{145}}{{24}}} \\right) - \\frac{{119}}{{24}}\\left( {x - \\frac{{145}}{{24}}} \\right) = 0{/tex}{tex}\\Rightarrow \\left( {x - \\frac{{145}}{{24}}} \\right)\\left( {x - \\frac{{119}}{{24}}} \\right) = 0{/tex}{tex}\\Rightarrow x - \\frac{{145}}{{24}} = 0{/tex} or {tex}x - \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow x = \\frac{{145}}{{24}}{/tex} or {tex}x = \\frac{{119}}{{24}}{/tex} | |
| 39254. |
(X-5)(x-6)=25/(24)2 |
| Answer» According to the question,{tex}(x - 5)(x - 6) = \\frac{{25}}{{{{\\left( {24} \\right)}^2}}}{/tex}{tex}\\Rightarrow x(x - 6) - 5(x - 6) = \\frac{{25}}{{{{(24)}^2}}}{/tex}{tex}\\Rightarrow {x^2} - 6x - 5x + 30 - \\frac{{25}}{{{{(24)}^2}}} = 0{/tex}{tex}\\Rightarrow {x^2} - 11x + 30 - \\frac{{25}}{{{{(24)}^2}}} = 0{/tex}{tex}\\Rightarrow {x^2} - 11x + \\frac{{30 \\times {{24}^2} - 25}}{{{{(24)}^2}}} = 0{/tex}{tex} \\Rightarrow {x^2} - 11x + \\frac{{30 \\times 576 - 25}}{{{{(24)}^2}}} = 0{/tex}{tex} \\Rightarrow {x^2} - 11x + \\frac{{17280 - 25}}{{{{(24)}^2}}} = 0{/tex}{tex}\\Rightarrow {x^2} - \\frac{{264x}}{{24}} + \\frac{{145}}{{24}} \\times \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow {x^2} - \\left( {\\frac{{145}}{{24}} + \\frac{{119}}{{24}}} \\right)x + \\frac{{145}}{{24}} \\times \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow {x^2} - \\frac{{145}}{{24}}x - \\frac{{119}}{{24}}x + \\frac{{145}}{{24}} \\times \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow x\\left( {x - \\frac{{145}}{{24}}} \\right) - \\frac{{119}}{{24}}\\left( {x - \\frac{{145}}{{24}}} \\right) = 0{/tex}{tex}\\Rightarrow \\left( {x - \\frac{{145}}{{24}}} \\right)\\left( {x - \\frac{{119}}{{24}}} \\right) = 0{/tex}{tex}\\Rightarrow x - \\frac{{145}}{{24}} = 0{/tex} or {tex}x - \\frac{{119}}{{24}} = 0{/tex}{tex}\\Rightarrow x = \\frac{{145}}{{24}}{/tex} or {tex}x = \\frac{{119}}{{24}}{/tex} | |
| 39255. |
What is meant by coordinate geometry |
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Answer» Hii jeevi aapko samaj aa gaya na The definition of coordinate geometry is the study of algebraic equations on graphs. An example of coordinate geometry is plotting points, lines and curves on an x and y axis Coordinate geometry only |
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| 39256. |
prove that 3+3+4-5 is composit no. |
| Answer» As 3+3+4-5 = 10 and 10 is the composit number. | |
| 39257. |
Find a cubic Polynomial whose zeroes are 3,5,-2 |
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Answer» Let α=3,β=5,gamma =-2 let the required polynomial be denoted by p(x) then solve accordingly Nice Here , sum of zeroes= 3+5+(-2)=8-2=6 Product of zeroes= 3*5*(-2)= -30Sum of product of zeroes taken at one time=(3)(5)+(5)(-2)+(-2)(3)=15-10-6=-1Thus, the equation formed is, x^3 -(6)x^2 +(-1)x - (-30)=x^3 -6x^2 -1 +30 |
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| 39258. |
1tan 2tan.................89tan |
| Answer» | |
| 39259. |
What do you meam by thales theorem |
| Answer» Thales theorem is also known as basic proportional theorem in which if a line joining two sides of triangle is parallel to the third side then ratio of sides will be same | |
| 39260. |
Root (x) +y=12 ,x+(rooty) =16 |
| Answer» | |
| 39261. |
What is consecutive number |
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Answer» the no which has more than two factor Number coming one after other in series |
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| 39262. |
Find two conscutive positive integers sum of whose square is 365? |
| Answer» 13 or 14 by factorisation the equation is x(x+1) | |
| 39263. |
Tell pythogrous theorem |
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Answer» h*2= p*2+ b*2 H*2=P*2+B*2 hope it\'s help you |
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| 39264. |
The 7th term of an AP is -4 and it\'s 13th term is - 16. Find the AP |
| Answer» 2 | |
| 39265. |
2x + 5y =9 and x - y = 1 solve by substution methord |
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Answer» y=1,x=2 Y=7 and x=2 |
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| 39266. |
Explainbwhy 3×5×7+7is composite number |
| Answer» We have, (3\xa0× 5\xa0× 7) + 7 = 105 + 7 = 112Prime factors of 112 = 2\xa0× 2\xa0× 2\xa0× 2\xa0× 7 = 24\xa0{tex} \\times {/tex}\xa07So, it is the product of prime factors 2 and 7, i.e. it has factors other than 1 and itself. Hence, it is a composite number. | |
| 39267. |
Can we write this Cos theta is equal to 1 + sin theta |
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Answer» Yes No Yes |
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| 39268. |
Thalus therome |
| Answer» For the theorem sometimes called Thales\'s theorem and pertaining to similar triangles, see Intercept theorem.Thales\'s theorem: if AC is a diameter, then the angle at B is a right angle.In geometry, Thales\'s theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle. Thales\'s theorem is a special case of the inscribed angle theorem, and is mentioned and proved as part of the 31st proposition, in the third book of Euclid\'s Elements.[1] It is generally attributed to Thales of Miletus, who is said to have offered an ox (probably to the god Apollo) as a sacrifice of thanksgiving for the discovery, but sometimes it is attributed to Pythagoras. | |
| 39269. |
All the formula of trigonometry |
| Answer» | |
| 39270. |
Which is the smallest. 1digit no 1or 0 or-9 |
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Answer» -9 If whole no then 0 -9 |
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| 39271. |
Wahi is quadratic |
| Answer» | |
| 39272. |
X2-3x-1.solve by factorisation method |
| Answer» | |
| 39273. |
Ncert solutions of Rd Sharma class 10 are available or not in this app |
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Answer» Only 1.1 ex is there Only ncert and cbse important question is present Nooooo |
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| 39274. |
X+√Y =4√X+Y=7Solve x and y |
| Answer» | |
| 39275. |
What is the value of sin35/56 with all trignonlmetric ratios? |
| Answer» | |
| 39276. |
Show that root 5 is a irrational number |
| Answer» Let √5 be a rational number√5 =a/bSquaring both sides,√5 ka whole square =a ka square/b ka square5=a square /b squares So, a square /5 =b square----------- eqn 1B square = a square /5 A square is divisible by 5So ,a is also divisible by 5Let a =5c Put a =5c in eqn 15c ka whole square /5 =b square 25 c square /5=b square5c square = b square | |
| 39277. |
5th chapter |
| Answer» | |
| 39278. |
Graphical method x + y = 14 x - y = 4 |
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Answer» x+y=14......... (1)x-y=4..........(2)x=4+yx+y=144+y+y=144+2y=142y=14-42y=10y=10÷2y=5x=4+yx=4+5x=9 x+y=14........(i)x=14-y......(a)x-y=4........(ii)Substitute in (a) in (ii)14-y-y=414-2y=4-2y=4-14y=-10/-2y=5Substitute in(i)x+y=4x+5=4x=4-5x=-1 This for solving method not for graphical method x + y = 14 ........(i)x - y = 4 .........(ii)(i) + (ii)2x = 18x = 18/2 = 9Put x = 9 in (i)9 + y =1 4y = 14 - 9y = 5So, x = 9 and y = 5 |
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| 39279. |
10 apan 2 =2prove date |
| Answer» ,5/10=2 | |
| 39280. |
CiOi.vwl |
| Answer» | |
| 39281. |
Prove basic proportionality therom |
| Answer» Given :\xa0In {tex}\\triangle A B C{/tex}, DE || BC and intersects AB in D and AC in E.\xa0Prove that :\xa0{tex}\\frac{AD}{DB} = \\frac{AE}{EC}{/tex}Construction:\xa0Join BE, CD and draw EF {tex}\\perp{/tex} BA and DG {tex}\\perp{/tex} CA. Now from the given figure we have,EF is the height of ∆ADE and ∆DBE\xa0(Definition of perpendicular)Area({tex}\\triangle{/tex}ADE) ={tex}\\frac{AD.EF}{2}{/tex} .....(1)Area({tex}\\triangle{/tex}DBE) = {tex}\\frac{DB.EF}{2}{/tex} ....(2)Divide the two equations we have{tex}\\frac{Area \\triangle ADE}{Area \\triangle DBE} = \\frac{AD}{DB}{/tex} .....(3){tex}\\frac{Area \\triangle ADE}{Area \\triangle DEC} = \\frac{AE}{EC}{/tex} .....(4)Therefore, {tex}\\triangle \\mathrm{DBE} \\sim \\triangle \\mathrm{DEC}{/tex} (Both the ∆s are on the same base and\xa0between the same || lines)Area({tex}\\triangle{/tex}DBE) = Area({tex}\\triangle{/tex}DEC) (If the two triangles are similar their\xa0areas are equal) ....(5){tex}\\frac{AD}{DB} = \\frac{AE}{EC}{/tex}\xa0[from equation 3,4 and 5]Hence proved. | |
| 39282. |
If a=-3 b=5 find whether a and b are closed under substraction |
| Answer» | |
| 39283. |
Apply Euclid\'s division algorithm find HcF of 7052and 420 |
| Answer» We have to see which number greater so, 7052>420 Applying division lemma a=bq+r 7052=420*16+332 Here remainder is not zero so, 332=16×2+12 Again remainder is not zero so, 12=2×6+0 Here the remainder is zero The divisor on this stage is 6.So the HCF is 6 | |
| 39284. |
Is squence √3,√6,√9,√12,..... an A.O ? Give reasons |
| Answer» Common difference,{tex}d_1 = \\sqrt { 6 } - \\sqrt { 3 }{/tex}{tex}= \\sqrt { 3 } ( \\sqrt { 2 } - 1 ){/tex}{tex}d_2= \\sqrt { 9 } - \\sqrt { 6 }{/tex}{tex}= \\sqrt { 3\\times3 } - \\sqrt{2\\times 3}{/tex}{tex}= 3 - \\sqrt { 6 }{/tex}{tex}d_3 = \\sqrt { 12 } - \\sqrt { 9 } {/tex}{tex}= \\sqrt { 4\\times3 } - \\sqrt { 9 } {/tex}{tex}= 2 \\sqrt { 3 } - 3{/tex}As common difference does not equal.Hence, The given series is not in A.P. | |
| 39285. |
What is polynomial in one variable |
| Answer» Polynomial which is in one variable means that, it has only one variable. For ex. 7x – 9 = 16 | |
| 39286. |
The cubic polynomial has _________ zeros at most |
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Answer» 3 3zero i.e alpha betea gama 3 3 Three zeros 3 |
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| 39287. |
How to solve easily linear eqaution Questions |
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Answer» So plzz use that method. In linear eqn the simple method is elimination... U can solve this rapidly by using elimination method You may use elimination method |
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| 39288. |
3×2 |
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Answer» 6 6???? 6 6 6 6 |
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| 39289. |
What is meant by web page |
| Answer» A hypertext document connected to world wide web | |
| 39290. |
Find the value of k. 2× x - 4× y + 5=0 and k × x -3× y -5=0. By using substitution method |
| Answer» | |
| 39291. |
Prove that underroot3 is a irrational no |
| Answer» Let √3 be rational no. Then it exist in the form p/q where q≠0√3=p/q. (here slash means upon) (on squaring both side)(√3)²= (p/q)²3=p²/q²q²=p²/3. -------(1)From (1) we noticed that p² is divisible by 3 therefore p is also divisible by 3 -----(2)Now put p=3r in (1)Therefore q²= (3r)²/3So, q²= 9r²/3 q²= 3r² (÷3) q²/3= r² OR r²= q²/3-----(3)From (3) we noticed that q² is divisible by 3 therefore q is also divisible by 3 ------(4)So by (2) & (4) it contradicts our suppose that √3 is rational but it is irrational because both p and q are divisible by 3Hence proved | |
| 39292. |
Find 7429 prime factories |
| Answer» 17×19×23 are the prime factors of 7429 | |
| 39293. |
2x square -x+1by 8= 0 |
| Answer» X=1/4,1/4 | |
| 39294. |
X×X + 250X - 37500 = 0 |
| Answer» X2 + 250x - 37500X2 + 750x -500x - 37500X(X + 750) - 500(X + 750)(X +750)(X-500) | |
| 39295. |
X^2+2x-8=0 |
| Answer» x = 2,-4 | |
| 39296. |
LCM of 1/2,1/3=1?(how) |
| Answer» Answer is 6 | |
| 39297. |
What is thales theory |
| Answer» Thales\' theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle. | |
| 39298. |
What is geometry. |
| Answer» Geometry means geo= earth metry = measurement | |
| 39299. |
What is alogrithm |
| Answer» It is a process to be followed in calculations or other problems solving operations | |
| 39300. |
Proof that 1÷×+1 = ×÷1+3 |
| Answer» | |